75226320 has 400 divisors, whose sum is σ = 302480640. Its totient is φ = 17169408.

The previous prime is 75226297. The next prime is 75226321. The reversal of 75226320 is 2362257.

75226320 is a `hidden beast` number, since 7 + 5 + 22 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75226321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600537 + ... + 1600583.

Almost surely, 2^75226320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

75226320 is an abundant number, since it is smaller than the sum of its proper divisors (227254320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75226320 is a wasteful number, since it uses less digits than its factorization.

75226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75226320 is about 8673.3107865451. The cubic root of 75226320 is about 422.1400970876.

Adding to 75226320 its reverse (2362257), we get a palindrome (77588577).

It can be divided in two parts, 752 and 26320, that added together give a palindrome (27072).

The spelling of 75226320 in words is "seventy-five million, two hundred twenty-six thousand, three hundred twenty".